Physics II: Determine Electric Field Intensity for Equilibrium

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    Physics Physics ii
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To determine the electric field intensity for the equilibrium of two charged spheres, analyze the forces acting on each sphere, considering both horizontal and vertical components. The charges are -4.0 x 10^-8 C and +4.0 x 10^-8 C, and they are suspended at an angle of 11° with a string length of 9.0 cm. Establish equations based on the condition that the net force in both directions equals zero, as the spheres are not accelerating. A diagram can help visualize the forces and their vectors, aiding in organizing the calculations. The final answer should be expressed in Newtons per Coulomb.
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Homework Statement



Two 3.0 g spheres are suspended by 9.0 cm long light strings. A uniform electric field is applied in the x direction. If the spheres have charges of -4.X10-8 C(coulomb) and +4.X10-8 C, determine the electric field intensity that enables the spheres to be in equilibrium at θ = 11°.


picture: http://www.webassign.net/sercp/p15-57.gif

So the units to the answer should be Newtons/Coulomb


The Attempt at a Solution


I am unclear on how to get the answer because i feel overwhelmed by formulas I can use. I've tried and the answer is definitely not 304,843.5. You see what I mean?

I would appreciate some ideas.


-Abe
 
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Consider the forces on each charge. Sketch their vectors on a diagram. Write equations saying that the sum of the forces on each charge in the horizontal and vertical directions are zero (because they are not accelerating, F = ma = 0).
 
Delphi51 said:
Consider the forces on each charge. Sketch their vectors on a diagram. Write equations saying that the sum of the forces on each charge in the horizontal and vertical directions are zero (because they are not accelerating, F = ma = 0).

Could you tell me how do i organize the number to get the answer? as in what equations do I use as well.
 
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